Parahoric Restriction for GSp(4)

TL;DR

This paper computes the parahoric restriction of certain non-cuspidal irreducible smooth representations of GSp(4,F), advancing understanding of their structure over local non-archimedean fields.

Contribution

It provides explicit calculations of parahoric restrictions for non-cuspidal representations of GSp(4), a novel contribution to the representation theory of p-adic groups.

Findings

Explicit formulas for parahoric restrictions of GSp(4) representations

Classification of restrictions for non-cuspidal irreducible smooth representations

Enhanced understanding of local representation structures

Abstract

We determine the parahoric restriction of non-cuspidal irreducible smooth representations of GSp(4,F) for a local non-archimedean number field F.